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Finding the Fourth Proportional to 7,031.16, 10,547.10 and 3,135.84

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Solution

The fourth proportional to 7,031.16, 10,547.10 and 3,135.84 is: 4,703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.16 : 10,547.10 = 3,135.84 : x
  2. Step 2: Convert to fraction form
    7,031.16/10,547.10 = 3,135.84/x
  3. Step 3: Cross multiply
    7,031.16x = 10,547.10 × 3,135.84
  4. Step 4: Simplify right side
    7,031.16x = 33,074,018.06
  5. Step 5: Solve for x
    x = 33,074,018.06/7,031.16
  6. Step 6: Final answer
    x = 4,703.92

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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.