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Finding the Fourth Proportional to 8,875.64, 13,303.10 and 6,677.30

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Solution

The fourth proportional to 8,875.64, 13,303.10 and 6,677.30 is: 10,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,875.64 : 13,303.10 = 6,677.30 : x
  2. Step 2: Convert to fraction form
    8,875.64/13,303.10 = 6,677.30/x
  3. Step 3: Cross multiply
    8,875.64x = 13,303.10 × 6,677.30
  4. Step 4: Simplify right side
    8,875.64x = 88,828,789.63
  5. Step 5: Solve for x
    x = 88,828,789.63/8,875.64
  6. Step 6: Final answer
    x = 10,008.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.