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Finding the Fourth Proportional to 10,776.92, 14,870.70 and 6,301.40

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Solution

The fourth proportional to 10,776.92, 14,870.70 and 6,301.40 is: 8,695.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.92 : 14,870.70 = 6,301.40 : x
  2. Step 2: Convert to fraction form
    10,776.92/14,870.70 = 6,301.40/x
  3. Step 3: Cross multiply
    10,776.92x = 14,870.70 × 6,301.40
  4. Step 4: Simplify right side
    10,776.92x = 93,706,228.98
  5. Step 5: Solve for x
    x = 93,706,228.98/10,776.92
  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.