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Finding the Fourth Proportional to 10,044, 15,064.38 and 7,113.42

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Solution

The fourth proportional to 10,044, 15,064.38 and 7,113.42 is: 10,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044 : 15,064.38 = 7,113.42 : x
  2. Step 2: Convert to fraction form
    10,044/15,064.38 = 7,113.42/x
  3. Step 3: Cross multiply
    10,044x = 15,064.38 × 7,113.42
  4. Step 4: Simplify right side
    10,044x = 107,159,261.98
  5. Step 5: Solve for x
    x = 107,159,261.98/10,044
  6. Step 6: Final answer
    x = 10,668.98

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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.