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Finding the Fourth Proportional to 10,436.79, 14,407.70 and 6,460.50

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Solution

The fourth proportional to 10,436.79, 14,407.70 and 6,460.50 is: 8,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.79 : 14,407.70 = 6,460.50 : x
  2. Step 2: Convert to fraction form
    10,436.79/14,407.70 = 6,460.50/x
  3. Step 3: Cross multiply
    10,436.79x = 14,407.70 × 6,460.50
  4. Step 4: Simplify right side
    10,436.79x = 93,080,913.55
  5. Step 5: Solve for x
    x = 93,080,913.55/10,436.79
  6. Step 6: Final answer
    x = 8,918.54

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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.