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Finding the Fourth Proportional to 15,071.94, 22,609.62 and 5,210.10

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Solution

The fourth proportional to 15,071.94, 22,609.62 and 5,210.10 is: 7,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,071.94 : 22,609.62 = 5,210.10 : x
  2. Step 2: Convert to fraction form
    15,071.94/22,609.62 = 5,210.10/x
  3. Step 3: Cross multiply
    15,071.94x = 22,609.62 × 5,210.10
  4. Step 4: Simplify right side
    15,071.94x = 117,798,381.16
  5. Step 5: Solve for x
    x = 117,798,381.16/15,071.94
  6. Step 6: Final answer
    x = 7,815.74

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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.