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Finding the Fourth Proportional to 7,547.68, 10,416.07 and 4,190.55

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Solution

The fourth proportional to 7,547.68, 10,416.07 and 4,190.55 is: 5,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.68 : 10,416.07 = 4,190.55 : x
  2. Step 2: Convert to fraction form
    7,547.68/10,416.07 = 4,190.55/x
  3. Step 3: Cross multiply
    7,547.68x = 10,416.07 × 4,190.55
  4. Step 4: Simplify right side
    7,547.68x = 43,649,031.18
  5. Step 5: Solve for x
    x = 43,649,031.18/7,547.68
  6. Step 6: Final answer
    x = 5,783.10

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