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Finding the Fourth Proportional to 11,038.74, 16,547.04 and 4,012.80

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Solution

The fourth proportional to 11,038.74, 16,547.04 and 4,012.80 is: 6,015.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.74 : 16,547.04 = 4,012.80 : x
  2. Step 2: Convert to fraction form
    11,038.74/16,547.04 = 4,012.80/x
  3. Step 3: Cross multiply
    11,038.74x = 16,547.04 × 4,012.80
  4. Step 4: Simplify right side
    11,038.74x = 66,399,962.11
  5. Step 5: Solve for x
    x = 66,399,962.11/11,038.74
  6. Step 6: Final answer
    x = 6,015.18

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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.