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Finding the Fourth Proportional to 7,547.64, 10,415.70 and 4,190.43

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Solution

The fourth proportional to 7,547.64, 10,415.70 and 4,190.43 is: 5,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.64 : 10,415.70 = 4,190.43 : x
  2. Step 2: Convert to fraction form
    7,547.64/10,415.70 = 4,190.43/x
  3. Step 3: Cross multiply
    7,547.64x = 10,415.70 × 4,190.43
  4. Step 4: Simplify right side
    7,547.64x = 43,646,261.75
  5. Step 5: Solve for x
    x = 43,646,261.75/7,547.64
  6. Step 6: Final answer
    x = 5,782.77

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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.