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Finding the Fourth Proportional to 11,466.99, 15,823.53 and 6,430.07

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Solution

The fourth proportional to 11,466.99, 15,823.53 and 6,430.07 is: 8,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.99 : 15,823.53 = 6,430.07 : x
  2. Step 2: Convert to fraction form
    11,466.99/15,823.53 = 6,430.07/x
  3. Step 3: Cross multiply
    11,466.99x = 15,823.53 × 6,430.07
  4. Step 4: Simplify right side
    11,466.99x = 101,746,326.43
  5. Step 5: Solve for x
    x = 101,746,326.43/11,466.99
  6. Step 6: Final answer
    x = 8,872.98

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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.