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Finding the Fourth Proportional to 10,291.30, 15,430.06 and 4,737.13

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Solution

The fourth proportional to 10,291.30, 15,430.06 and 4,737.13 is: 7,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.30 : 15,430.06 = 4,737.13 : x
  2. Step 2: Convert to fraction form
    10,291.30/15,430.06 = 4,737.13/x
  3. Step 3: Cross multiply
    10,291.30x = 15,430.06 × 4,737.13
  4. Step 4: Simplify right side
    10,291.30x = 73,094,200.13
  5. Step 5: Solve for x
    x = 73,094,200.13/10,291.30
  6. Step 6: Final answer
    x = 7,102.52

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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.