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Finding the Fourth Proportional to 10,281.68, 14,188.74 and 5,565.95

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Solution

The fourth proportional to 10,281.68, 14,188.74 and 5,565.95 is: 7,681.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.68 : 14,188.74 = 5,565.95 : x
  2. Step 2: Convert to fraction form
    10,281.68/14,188.74 = 5,565.95/x
  3. Step 3: Cross multiply
    10,281.68x = 14,188.74 × 5,565.95
  4. Step 4: Simplify right side
    10,281.68x = 78,973,746.46
  5. Step 5: Solve for x
    x = 78,973,746.46/10,281.68
  6. Step 6: Final answer
    x = 7,681.02

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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.