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Finding the Fourth Proportional to 11,345.36, 15,656.09 and 6,564.53

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Solution

The fourth proportional to 11,345.36, 15,656.09 and 6,564.53 is: 9,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.36 : 15,656.09 = 6,564.53 : x
  2. Step 2: Convert to fraction form
    11,345.36/15,656.09 = 6,564.53/x
  3. Step 3: Cross multiply
    11,345.36x = 15,656.09 × 6,564.53
  4. Step 4: Simplify right side
    11,345.36x = 102,774,878.81
  5. Step 5: Solve for x
    x = 102,774,878.81/11,345.36
  6. Step 6: Final answer
    x = 9,058.76

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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.