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Finding the Fourth Proportional to 10,492.50, 14,479.65 and 6,300.78

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Solution

The fourth proportional to 10,492.50, 14,479.65 and 6,300.78 is: 8,695.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.50 : 14,479.65 = 6,300.78 : x
  2. Step 2: Convert to fraction form
    10,492.50/14,479.65 = 6,300.78/x
  3. Step 3: Cross multiply
    10,492.50x = 14,479.65 × 6,300.78
  4. Step 4: Simplify right side
    10,492.50x = 91,233,089.13
  5. Step 5: Solve for x
    x = 91,233,089.13/10,492.50
  6. Step 6: Final answer
    x = 8,695.08

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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.