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Finding the Fourth Proportional to 10,030.09, 13,841.74 and 5,492.96

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Solution

The fourth proportional to 10,030.09, 13,841.74 and 5,492.96 is: 7,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.09 : 13,841.74 = 5,492.96 : x
  2. Step 2: Convert to fraction form
    10,030.09/13,841.74 = 5,492.96/x
  3. Step 3: Cross multiply
    10,030.09x = 13,841.74 × 5,492.96
  4. Step 4: Simplify right side
    10,030.09x = 76,032,062.08
  5. Step 5: Solve for x
    x = 76,032,062.08/10,030.09
  6. Step 6: Final answer
    x = 7,580.40

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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.