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Finding the Fourth Proportional to 10,805.53, 16,210.02 and 4,565.60

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Solution

The fourth proportional to 10,805.53, 16,210.02 and 4,565.60 is: 6,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.53 : 16,210.02 = 4,565.60 : x
  2. Step 2: Convert to fraction form
    10,805.53/16,210.02 = 4,565.60/x
  3. Step 3: Cross multiply
    10,805.53x = 16,210.02 × 4,565.60
  4. Step 4: Simplify right side
    10,805.53x = 74,008,457.18
  5. Step 5: Solve for x
    x = 74,008,457.18/10,805.53
  6. Step 6: Final answer
    x = 6,849.13

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Why These Related Problems?

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