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Finding the Fourth Proportional to 10,284.60, 15,437.88 and 9,059.88

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Solution

The fourth proportional to 10,284.60, 15,437.88 and 9,059.88 is: 13,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.60 : 15,437.88 = 9,059.88 : x
  2. Step 2: Convert to fraction form
    10,284.60/15,437.88 = 9,059.88/x
  3. Step 3: Cross multiply
    10,284.60x = 15,437.88 × 9,059.88
  4. Step 4: Simplify right side
    10,284.60x = 139,865,340.25
  5. Step 5: Solve for x
    x = 139,865,340.25/10,284.60
  6. Step 6: Final answer
    x = 13,599.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.