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Finding the Fourth Proportional to 10,777.24, 14,867.88 and 6,583

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Solution

The fourth proportional to 10,777.24, 14,867.88 and 6,583 is: 9,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.24 : 14,867.88 = 6,583 : x
  2. Step 2: Convert to fraction form
    10,777.24/14,867.88 = 6,583/x
  3. Step 3: Cross multiply
    10,777.24x = 14,867.88 × 6,583
  4. Step 4: Simplify right side
    10,777.24x = 97,875,254.04
  5. Step 5: Solve for x
    x = 97,875,254.04/10,777.24
  6. Step 6: Final answer
    x = 9,081.66

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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.