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Finding the Fourth Proportional to 10,577.84, 14,597.92 and 6,386

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Solution

The fourth proportional to 10,577.84, 14,597.92 and 6,386 is: 8,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.84 : 14,597.92 = 6,386 : x
  2. Step 2: Convert to fraction form
    10,577.84/14,597.92 = 6,386/x
  3. Step 3: Cross multiply
    10,577.84x = 14,597.92 × 6,386
  4. Step 4: Simplify right side
    10,577.84x = 93,222,317.12
  5. Step 5: Solve for x
    x = 93,222,317.12/10,577.84
  6. Step 6: Final answer
    x = 8,812.98

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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.