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Finding the Fourth Proportional to 10,430.51, 15,647.73 and 4,191.02

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Solution

The fourth proportional to 10,430.51, 15,647.73 and 4,191.02 is: 6,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.51 : 15,647.73 = 4,191.02 : x
  2. Step 2: Convert to fraction form
    10,430.51/15,647.73 = 4,191.02/x
  3. Step 3: Cross multiply
    10,430.51x = 15,647.73 × 4,191.02
  4. Step 4: Simplify right side
    10,430.51x = 65,579,914.11
  5. Step 5: Solve for x
    x = 65,579,914.11/10,430.51
  6. Step 6: Final answer
    x = 6,287.32

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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.