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Finding the Fourth Proportional to 10,291.72, 15,438.53 and 4,746.60

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Solution

The fourth proportional to 10,291.72, 15,438.53 and 4,746.60 is: 7,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.72 : 15,438.53 = 4,746.60 : x
  2. Step 2: Convert to fraction form
    10,291.72/15,438.53 = 4,746.60/x
  3. Step 3: Cross multiply
    10,291.72x = 15,438.53 × 4,746.60
  4. Step 4: Simplify right side
    10,291.72x = 73,280,526.50
  5. Step 5: Solve for x
    x = 73,280,526.50/10,291.72
  6. Step 6: Final answer
    x = 7,120.34

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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.