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Finding the Fourth Proportional to 10,001.88, 13,788.23 and 7,873.74

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Solution

The fourth proportional to 10,001.88, 13,788.23 and 7,873.74 is: 10,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.88 : 13,788.23 = 7,873.74 : x
  2. Step 2: Convert to fraction form
    10,001.88/13,788.23 = 7,873.74/x
  3. Step 3: Cross multiply
    10,001.88x = 13,788.23 × 7,873.74
  4. Step 4: Simplify right side
    10,001.88x = 108,564,898.71
  5. Step 5: Solve for x
    x = 108,564,898.71/10,001.88
  6. Step 6: Final answer
    x = 10,854.45

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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.