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Finding the Fourth Proportional to 10,215.70, 15,307.54 and 7,101.76

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Solution

The fourth proportional to 10,215.70, 15,307.54 and 7,101.76 is: 10,641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.70 : 15,307.54 = 7,101.76 : x
  2. Step 2: Convert to fraction form
    10,215.70/15,307.54 = 7,101.76/x
  3. Step 3: Cross multiply
    10,215.70x = 15,307.54 × 7,101.76
  4. Step 4: Simplify right side
    10,215.70x = 108,710,475.27
  5. Step 5: Solve for x
    x = 108,710,475.27/10,215.70
  6. Step 6: Final answer
    x = 10,641.51

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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.