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Finding the Fourth Proportional to 10,663.84, 14,695.32 and 7,674.40

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Solution

The fourth proportional to 10,663.84, 14,695.32 and 7,674.40 is: 10,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.84 : 14,695.32 = 7,674.40 : x
  2. Step 2: Convert to fraction form
    10,663.84/14,695.32 = 7,674.40/x
  3. Step 3: Cross multiply
    10,663.84x = 14,695.32 × 7,674.40
  4. Step 4: Simplify right side
    10,663.84x = 112,777,763.81
  5. Step 5: Solve for x
    x = 112,777,763.81/10,663.84
  6. Step 6: Final answer
    x = 10,575.72

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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.