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Finding the Fourth Proportional to 10,417.76, 14,376.22 and 5,701.74

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Solution

The fourth proportional to 10,417.76, 14,376.22 and 5,701.74 is: 7,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.76 : 14,376.22 = 5,701.74 : x
  2. Step 2: Convert to fraction form
    10,417.76/14,376.22 = 5,701.74/x
  3. Step 3: Cross multiply
    10,417.76x = 14,376.22 × 5,701.74
  4. Step 4: Simplify right side
    10,417.76x = 81,969,468.62
  5. Step 5: Solve for x
    x = 81,969,468.62/10,417.76
  6. Step 6: Final answer
    x = 7,868.24

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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.