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Finding the Fourth Proportional to 10,505.47, 14,496.80 and 6,029.11

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Solution

The fourth proportional to 10,505.47, 14,496.80 and 6,029.11 is: 8,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.47 : 14,496.80 = 6,029.11 : x
  2. Step 2: Convert to fraction form
    10,505.47/14,496.80 = 6,029.11/x
  3. Step 3: Cross multiply
    10,505.47x = 14,496.80 × 6,029.11
  4. Step 4: Simplify right side
    10,505.47x = 87,402,801.85
  5. Step 5: Solve for x
    x = 87,402,801.85/10,505.47
  6. Step 6: Final answer
    x = 8,319.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.