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Finding the Fourth Proportional to 10,655.32, 14,705.46 and 6,407.77

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Solution

The fourth proportional to 10,655.32, 14,705.46 and 6,407.77 is: 8,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.32 : 14,705.46 = 6,407.77 : x
  2. Step 2: Convert to fraction form
    10,655.32/14,705.46 = 6,407.77/x
  3. Step 3: Cross multiply
    10,655.32x = 14,705.46 × 6,407.77
  4. Step 4: Simplify right side
    10,655.32x = 94,229,205.42
  5. Step 5: Solve for x
    x = 94,229,205.42/10,655.32
  6. Step 6: Final answer
    x = 8,843.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.