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Finding the Fourth Proportional to 10,462.40, 15,693.60 and 6,084.80

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Solution

The fourth proportional to 10,462.40, 15,693.60 and 6,084.80 is: 9,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.40 : 15,693.60 = 6,084.80 : x
  2. Step 2: Convert to fraction form
    10,462.40/15,693.60 = 6,084.80/x
  3. Step 3: Cross multiply
    10,462.40x = 15,693.60 × 6,084.80
  4. Step 4: Simplify right side
    10,462.40x = 95,492,417.28
  5. Step 5: Solve for x
    x = 95,492,417.28/10,462.40
  6. Step 6: Final answer
    x = 9,127.20

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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.