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Finding the Fourth Proportional to 10,666.78, 16,000.18 and 2,875.60

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Solution

The fourth proportional to 10,666.78, 16,000.18 and 2,875.60 is: 4,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.78 : 16,000.18 = 2,875.60 : x
  2. Step 2: Convert to fraction form
    10,666.78/16,000.18 = 2,875.60/x
  3. Step 3: Cross multiply
    10,666.78x = 16,000.18 × 2,875.60
  4. Step 4: Simplify right side
    10,666.78x = 46,010,117.61
  5. Step 5: Solve for x
    x = 46,010,117.61/10,666.78
  6. Step 6: Final answer
    x = 4,313.40

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