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Finding the Fourth Proportional to 7,000.09, 10,500.14 and 4,802.16

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Solution

The fourth proportional to 7,000.09, 10,500.14 and 4,802.16 is: 7,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.09 : 10,500.14 = 4,802.16 : x
  2. Step 2: Convert to fraction form
    7,000.09/10,500.14 = 4,802.16/x
  3. Step 3: Cross multiply
    7,000.09x = 10,500.14 × 4,802.16
  4. Step 4: Simplify right side
    7,000.09x = 50,423,275.79
  5. Step 5: Solve for x
    x = 50,423,275.79/7,000.09
  6. Step 6: Final answer
    x = 7,203.23

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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.