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Finding the Fourth Proportional to 10,089.99, 15,124.64 and 4,547.22

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Solution

The fourth proportional to 10,089.99, 15,124.64 and 4,547.22 is: 6,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.99 : 15,124.64 = 4,547.22 : x
  2. Step 2: Convert to fraction form
    10,089.99/15,124.64 = 4,547.22/x
  3. Step 3: Cross multiply
    10,089.99x = 15,124.64 × 4,547.22
  4. Step 4: Simplify right side
    10,089.99x = 68,775,122.25
  5. Step 5: Solve for x
    x = 68,775,122.25/10,089.99
  6. Step 6: Final answer
    x = 6,816.18

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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.