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Finding the Fourth Proportional to 10,543.54, 15,810.42 and 7,258.18

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Solution

The fourth proportional to 10,543.54, 15,810.42 and 7,258.18 is: 10,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.54 : 15,810.42 = 7,258.18 : x
  2. Step 2: Convert to fraction form
    10,543.54/15,810.42 = 7,258.18/x
  3. Step 3: Cross multiply
    10,543.54x = 15,810.42 × 7,258.18
  4. Step 4: Simplify right side
    10,543.54x = 114,754,874.24
  5. Step 5: Solve for x
    x = 114,754,874.24/10,543.54
  6. Step 6: Final answer
    x = 10,883.90

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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.