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Finding the Fourth Proportional to 10,501.34, 15,758.24 and 5,307.74

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Solution

The fourth proportional to 10,501.34, 15,758.24 and 5,307.74 is: 7,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.34 : 15,758.24 = 5,307.74 : x
  2. Step 2: Convert to fraction form
    10,501.34/15,758.24 = 5,307.74/x
  3. Step 3: Cross multiply
    10,501.34x = 15,758.24 × 5,307.74
  4. Step 4: Simplify right side
    10,501.34x = 83,640,575.26
  5. Step 5: Solve for x
    x = 83,640,575.26/10,501.34
  6. Step 6: Final answer
    x = 7,964.76

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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.