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Finding the Fourth Proportional to 10,159.87, 15,246.30 and 4,316.48

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Solution

The fourth proportional to 10,159.87, 15,246.30 and 4,316.48 is: 6,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.87 : 15,246.30 = 4,316.48 : x
  2. Step 2: Convert to fraction form
    10,159.87/15,246.30 = 4,316.48/x
  3. Step 3: Cross multiply
    10,159.87x = 15,246.30 × 4,316.48
  4. Step 4: Simplify right side
    10,159.87x = 65,810,349.02
  5. Step 5: Solve for x
    x = 65,810,349.02/10,159.87
  6. Step 6: Final answer
    x = 6,477.48

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