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Finding the Fourth Proportional to 10,656.95, 14,706.05 and 5,877.72

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Solution

The fourth proportional to 10,656.95, 14,706.05 and 5,877.72 is: 8,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.95 : 14,706.05 = 5,877.72 : x
  2. Step 2: Convert to fraction form
    10,656.95/14,706.05 = 5,877.72/x
  3. Step 3: Cross multiply
    10,656.95x = 14,706.05 × 5,877.72
  4. Step 4: Simplify right side
    10,656.95x = 86,438,014.82
  5. Step 5: Solve for x
    x = 86,438,014.82/10,656.95
  6. Step 6: Final answer
    x = 8,110.96

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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.