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Finding the Fourth Proportional to 7,298.16, 10,071.48 and 4,503.12

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Solution

The fourth proportional to 7,298.16, 10,071.48 and 4,503.12 is: 6,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.16 : 10,071.48 = 4,503.12 : x
  2. Step 2: Convert to fraction form
    7,298.16/10,071.48 = 4,503.12/x
  3. Step 3: Cross multiply
    7,298.16x = 10,071.48 × 4,503.12
  4. Step 4: Simplify right side
    7,298.16x = 45,353,083.02
  5. Step 5: Solve for x
    x = 45,353,083.02/7,298.16
  6. Step 6: Final answer
    x = 6,214.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.