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Finding the Fourth Proportional to 7,095.90, 10,632.14 and 4,314.16

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Solution

The fourth proportional to 7,095.90, 10,632.14 and 4,314.16 is: 6,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.90 : 10,632.14 = 4,314.16 : x
  2. Step 2: Convert to fraction form
    7,095.90/10,632.14 = 4,314.16/x
  3. Step 3: Cross multiply
    7,095.90x = 10,632.14 × 4,314.16
  4. Step 4: Simplify right side
    7,095.90x = 45,868,678.37
  5. Step 5: Solve for x
    x = 45,868,678.37/7,095.90
  6. Step 6: Final answer
    x = 6,464.11

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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.