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Finding the Fourth Proportional to 7,242.50, 10,857.60 and 6,898.04

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Solution

The fourth proportional to 7,242.50, 10,857.60 and 6,898.04 is: 10,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.50 : 10,857.60 = 6,898.04 : x
  2. Step 2: Convert to fraction form
    7,242.50/10,857.60 = 6,898.04/x
  3. Step 3: Cross multiply
    7,242.50x = 10,857.60 × 6,898.04
  4. Step 4: Simplify right side
    7,242.50x = 74,896,159.10
  5. Step 5: Solve for x
    x = 74,896,159.10/7,242.50
  6. Step 6: Final answer
    x = 10,341.20

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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.