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Finding the Fourth Proportional to 10,780.70, 14,875.12 and 6,303.58

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Solution

The fourth proportional to 10,780.70, 14,875.12 and 6,303.58 is: 8,697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.70 : 14,875.12 = 6,303.58 : x
  2. Step 2: Convert to fraction form
    10,780.70/14,875.12 = 6,303.58/x
  3. Step 3: Cross multiply
    10,780.70x = 14,875.12 × 6,303.58
  4. Step 4: Simplify right side
    10,780.70x = 93,766,508.93
  5. Step 5: Solve for x
    x = 93,766,508.93/10,780.70
  6. Step 6: Final answer
    x = 8,697.63

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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.