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Finding the Fourth Proportional to 10,810.61, 14,924.28 and 7,674.29

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Solution

The fourth proportional to 10,810.61, 14,924.28 and 7,674.29 is: 10,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.61 : 14,924.28 = 7,674.29 : x
  2. Step 2: Convert to fraction form
    10,810.61/14,924.28 = 7,674.29/x
  3. Step 3: Cross multiply
    10,810.61x = 14,924.28 × 7,674.29
  4. Step 4: Simplify right side
    10,810.61x = 114,533,178.14
  5. Step 5: Solve for x
    x = 114,533,178.14/10,810.61
  6. Step 6: Final answer
    x = 10,594.52

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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.