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Finding the Fourth Proportional to 10,385.21, 14,329.40 and 6,607

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Solution

The fourth proportional to 10,385.21, 14,329.40 and 6,607 is: 9,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.21 : 14,329.40 = 6,607 : x
  2. Step 2: Convert to fraction form
    10,385.21/14,329.40 = 6,607/x
  3. Step 3: Cross multiply
    10,385.21x = 14,329.40 × 6,607
  4. Step 4: Simplify right side
    10,385.21x = 94,674,345.80
  5. Step 5: Solve for x
    x = 94,674,345.80/10,385.21
  6. Step 6: Final answer
    x = 9,116.27

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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.