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Finding the Fourth Proportional to 10,875.33, 15,006.69 and 6,398.10

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Solution

The fourth proportional to 10,875.33, 15,006.69 and 6,398.10 is: 8,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.33 : 15,006.69 = 6,398.10 : x
  2. Step 2: Convert to fraction form
    10,875.33/15,006.69 = 6,398.10/x
  3. Step 3: Cross multiply
    10,875.33x = 15,006.69 × 6,398.10
  4. Step 4: Simplify right side
    10,875.33x = 96,014,303.29
  5. Step 5: Solve for x
    x = 96,014,303.29/10,875.33
  6. Step 6: Final answer
    x = 8,828.63

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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.