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Finding the Fourth Proportional to 10,364.90, 15,547.35 and 8,032.10

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Solution

The fourth proportional to 10,364.90, 15,547.35 and 8,032.10 is: 12,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.90 : 15,547.35 = 8,032.10 : x
  2. Step 2: Convert to fraction form
    10,364.90/15,547.35 = 8,032.10/x
  3. Step 3: Cross multiply
    10,364.90x = 15,547.35 × 8,032.10
  4. Step 4: Simplify right side
    10,364.90x = 124,877,869.94
  5. Step 5: Solve for x
    x = 124,877,869.94/10,364.90
  6. Step 6: Final answer
    x = 12,048.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.