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Finding the Fourth Proportional to 10,684.76, 14,750.70 and 7,154

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Solution

The fourth proportional to 10,684.76, 14,750.70 and 7,154 is: 9,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.76 : 14,750.70 = 7,154 : x
  2. Step 2: Convert to fraction form
    10,684.76/14,750.70 = 7,154/x
  3. Step 3: Cross multiply
    10,684.76x = 14,750.70 × 7,154
  4. Step 4: Simplify right side
    10,684.76x = 105,526,507.80
  5. Step 5: Solve for x
    x = 105,526,507.80/10,684.76
  6. Step 6: Final answer
    x = 9,876.36

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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.